Completion regularity and -additivity of measures on product spaces
C. Gryllakis, G. Koumoullis (1990)
Compositio Mathematica
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C. Gryllakis, G. Koumoullis (1990)
Compositio Mathematica
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Zdena Riečanová (1974)
Matematický časopis
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Vladimír Olejček (1974)
Matematický časopis
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Thiruvaiyaru V. Panchapagesan (2002)
Czechoslovak Mathematical Journal
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Let be a quasicomplete locally convex Hausdorff space. Let be a locally compact Hausdorff space and let , is continuous and vanishes at infinity be endowed with the supremum norm. Starting with the Borel extension theorem for -valued -additive Baire measures on , an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map to be weakly compact.
Miloslav Duchoň (1986)
Mathematica Slovaca
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Menachem Kojman, Henryk Michalewski (2011)
Fundamenta Mathematicae
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We prove: 1) Every Baire measure on the Kojman-Shelah Dowker space admits a Borel extension. 2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension. Consequently, Balogh's space remains the only candidate to be a ZFC counterexample to the measure extension problem of the three presently known ZFC Dowker spaces.